Prime p₀= 2037529489539986357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2037527453923931741	0 2 36 38 78 80 120 122 156 158	-2035616054616
SPT(16)	2037528691192675913	0 8 66 68 114 138 176 200 204 228 266 290 336 338 396 404	-798347310444
SPT(16)	2037528705842062487	0 14 26 32 54 80 110 150 176 216 246 272 294 300 312 326	-783697923870
SPT(16)	2037528737217312019	0 24 48 58 64 88 102 130 132 160 174 198 204 214 238 262	-752322674338
SPT(16)	2037528895324868837	0 6 50 92 126 132 156 170 222 236 260 266 300 342 386 392	-594215117520
SPT(16)	2037528937618499903	0 8 30 48 120 174 204 216 308 320 350 404 476 494 516 524	-551921486454
SPT(16)	2037530139149398513	0 34 36 46 54 60 76 100 144 168 184 190 198 208 210 244	649609412156
STPT(10)	2037530163948004541	0 2 6 8 48 50 90 92 96 98	674408018184
STPT(10)	2037530306287198067	0 2 42 44 72 74 102 104 144 146	816747211710
SPT(16)	2037530406989151869	0 18 32 42 60 68 98 120 200 222 252 260 278 288 302 320	917449165512
SPT(16)	2037530526399163031	0 20 36 48 56 108 120 126 140 146 158 210 218 230 246 266	1036859176674